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10032112203232 = 2571391811780127
BaseRepresentation
bin1001000111111100100001…
…1110111111010111100000
31022112001122011000012022211
42101333020132333113200
52303331231211000412
633200404433011504
72053540043514130
oct221771036772740
938461564005284
1010032112203232
11321865a890659
12116035a0b3b94
1357a040cc1b02
142697b1cbcac0
15125e591e4ca7
hex91fc87bf5e0

10032112203232 has 96 divisors (see below), whose sum is σ = 22860261365760. Its totient is φ = 4244959664640.

The previous prime is 10032112203229. The next prime is 10032112203241. The reversal of 10032112203232 is 23230221123001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4745553 + ... + 6525679.

It is an arithmetic number, because the mean of its divisors is an integer number (238127722560).

Almost surely, 210032112203232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032112203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430130682880).

10032112203232 is an abundant number, since it is smaller than the sum of its proper divisors (12828149162528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10032112203232 is a wasteful number, since it uses less digits than its factorization.

10032112203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780464 (or 1780456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10032112203232 its reverse (23230221123001), we get a palindrome (33262333326233).

The spelling of 10032112203232 in words is "ten trillion, thirty-two billion, one hundred twelve million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 181 224 278 362 556 724 973 1112 1267 1448 1946 2224 2534 2896 3892 4448 5068 5792 7784 10136 15568 20272 25159 31136 40544 50318 100636 176113 201272 352226 402544 704452 805088 1408904 1780127 2817808 3560254 5635616 7120508 12460889 14241016 24921778 28482032 49843556 56964064 99687112 199374224 247437653 322202987 398748448 494875306 644405974 989750612 1288811948 1732063571 1979501224 2255420909 2577623896 3464127142 3959002448 4510841818 5155247792 6928254284 7918004896 9021683636 10310495584 13856508568 18043367272 27713017136 36086734544 44786215193 55426034272 72173469088 89572430386 179144860772 313503506351 358289721544 627007012702 716579443088 1254014025404 1433158886176 2508028050808 5016056101616 10032112203232